Compare 9/2 and 84/27
1st number: 4 1/2, 2nd number: 3 3/27
9/2 is greater than 84/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
9/2 = 9 × 27/2 × 27 = 243/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
84/27 = 84 × 2/27 × 2 = 168/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/54 > 168/54 or 9/2 > 84/27
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